"...Takes its name from one of the dignities of the [1st] Marquis of Donegall, who was in 1790 created a peer of Great Britain by the title of Baron Fisherwick of Fisherwick. Fisherwick in Staffordshire from which the title derived its name was held by Roger Dudent in the year 1296. It also gives its name to Fisherwick Lodge, Doagh, Co. Antrim. In 1827-3 Fisherwick Place Presbyterian Church was erected. The Presbyterian Church House now covers the site as well as a block of adjoining houses" (John J. Marshall, Belfast Telegraph, 17/01/1941). Since Marshall's time the building has become Church House, headquarters of the Presbyterian Church in Ireland, whilst the congreagation moved to a new church on Malone Road.
https://lordbelmontinnorthernireland.blogspot.com/2019/07/fisherwick-hall.html